Clarification on Qn 3 Part 4 of hw 1

[Subbarao Kambhampati <rao@asu.edu>]

Qn 3 part 4 of Homework 1 says:

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4. Attempt a geometric intepretation of what you have done. Specifically, 
plot the documents as vectors in the k1-k2 space. Explain how the axes 
shifted after the singular value decomposition. Explain if the shift of 
axes helped in reducing the dimensionality of the data.

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I realize that I have not specifically discussed how to show the new axes 
(factors) in the space of old axes.
So, you can do the following alternate version of this question . (If you 
already know how to do the original version, then you can ignore this new 
version)

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4. Attempt a geometric intepretation of what you have done. Specifically, 
(a) plot the
documents as vectors in the k1-k2 space.
and (b) plot them also as vectors in the f1-f2 (factor) space (recall the 
database-regression example we did in the class.  Comment on whether in the 
new space the similar documents are clustered closer together.
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rao